Skip to main content
SpringerLink
Log in

Quantum mechanics of a miniuniverse

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

From the equations of general relativity for the radius of a closed homogeneous isotropic universe a Schrödinger equation for a particle is obtained. In the case of a universe filled with pressureless matter (dust) the equation is like that for thes states of a hydrogenlike atom. The miniuniverses obtained in this way have quantized masses of the order of the Planck mass.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Messiah, A. (1961).Quantum Mechanics, Vol. 1, North-Holland, Amsterdam.

    Google Scholar 

  • Parker, L. (1984). InQuantum Theory of Gravity, S. M. Christensen, ed., Hilger, Bristol, England.

    Google Scholar 

  • Weinberg, S. (1972).Gravitation and Cosmology, Wiley, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Technion, 32000, Haifa, Israel

    Nathan Rosen

Authors
  1. Nathan Rosen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosen, N. Quantum mechanics of a miniuniverse. Int J Theor Phys 32, 1435–1440 (1993). https://doi.org/10.1007/BF00675204

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00675204

Keywords

Search

Navigation